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Free Grade 3 Working with Fractions in Real Life Quizzes

Free Grade 3 quizzes for Working with Fractions in Real Life: 12 real questions with a full answer key and worked solutions. A fraction describes equal parts of a whole. The denominator (bottom) is how many equal parts there are; the numerator (top) is how many we are talking about.

Price

Free

Difficulty

Higher

Estimated time

25 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • UnderstandExplain working with fractions in real life

    Explain working with fractions in real life accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with fractions in real life

    Calculate working with fractions in real life accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with fractions in real life

    Compare working with fractions in real life accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with fractions in real life

    Justify working with fractions in real life accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Working with Fractions in Real Life works

A fraction describes equal parts of a whole. The denominator (bottom) is how many equal parts there are; the numerator (top) is how many we are talking about.

Key wordsfractionnumeratordenominatorequal partsunit fraction

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.A shape is split into 4 equal parts and 3 are shaded. What fraction is shaded, and what fraction is not?[1]
  2. 2.A shape is split into 2 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[1]
  3. 3.A shape is split into 3 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[1]
  4. 4.A shape is split into 6 equal parts and 5 are shaded. What fraction is shaded, and what fraction is not?[1]
  5. 5.A shape is split into 4 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[2]
  6. 6.A shape is split into 8 equal parts and 1 are shaded. What fraction is shaded, and what fraction is not?[2]
  7. 7.A shape is split into 8 equal parts and 5 are shaded. What fraction is shaded, and what fraction is not?[2]
  8. 8.A shape is split into 10 equal parts and 7 are shaded. What fraction is shaded, and what fraction is not?[2]
  9. 9.A shape is split into 11 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[3]
  10. 10.A shape is split into 14 equal parts and 12 are shaded. What fraction is shaded, and what fraction is not?[3]
  11. 11.A shape is split into 12 equal parts and 11 are shaded. What fraction is shaded, and what fraction is not?[3]
  12. 12.A shape is split into 13 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?[3]
Show answers and working
  1. 1. 3/4 shaded, 1/4 not shaded

    Denominator = total equal parts = 4. Numerator = shaded parts = 3. Unshaded: 4 − 3 = 1, so 1/4.

  2. 2. 1/2 shaded, 1/2 not shaded

    Denominator = total equal parts = 2. Numerator = shaded parts = 1. Unshaded: 2 − 1 = 1, so 1/2.

  3. 3. 2/3 shaded, 1/3 not shaded

    Denominator = total equal parts = 3. Numerator = shaded parts = 2. Unshaded: 3 − 2 = 1, so 1/3.

  4. 4. 5/6 shaded, 1/6 not shaded

    Denominator = total equal parts = 6. Numerator = shaded parts = 5. Unshaded: 6 − 5 = 1, so 1/6.

  5. 5. 1/4 shaded, 3/4 not shaded

    Denominator = total equal parts = 4. Numerator = shaded parts = 1. Unshaded: 4 − 1 = 3, so 3/4.

  6. 6. 1/8 shaded, 7/8 not shaded

    Denominator = total equal parts = 8. Numerator = shaded parts = 1. Unshaded: 8 − 1 = 7, so 7/8.

  7. 7. 5/8 shaded, 3/8 not shaded

    Denominator = total equal parts = 8. Numerator = shaded parts = 5. Unshaded: 8 − 5 = 3, so 3/8.

  8. 8. 7/10 shaded, 3/10 not shaded

    Denominator = total equal parts = 10. Numerator = shaded parts = 7. Unshaded: 10 − 7 = 3, so 3/10.

  9. 9. 2/11 shaded, 9/11 not shaded

    Denominator = total equal parts = 11. Numerator = shaded parts = 2. Unshaded: 11 − 2 = 9, so 9/11.

  10. 10. 12/14 shaded, 2/14 not shaded

    Denominator = total equal parts = 14. Numerator = shaded parts = 12. Unshaded: 14 − 12 = 2, so 2/14.

  11. 11. 11/12 shaded, 1/12 not shaded

    Denominator = total equal parts = 12. Numerator = shaded parts = 11. Unshaded: 12 − 11 = 1, so 1/12.

  12. 12. 2/13 shaded, 11/13 not shaded

    Denominator = total equal parts = 13. Numerator = shaded parts = 2. Unshaded: 13 − 2 = 11, so 11/13.

Worked examples

Easy example

A shape is split into 4 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 4.
  2. Numerator = shaded parts = 2.
  3. Unshaded: 4 − 2 = 2, so 2/4.
  4. Answer: 2/4 shaded, 2/4 not shaded
Medium example

A shape is split into 6 equal parts and 4 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 6.
  2. Numerator = shaded parts = 4.
  3. Unshaded: 6 − 4 = 2, so 2/6.
  4. Answer: 4/6 shaded, 2/6 not shaded
Hard example

A shape is split into 5 equal parts and 2 are shaded. What fraction is shaded, and what fraction is not?

  1. Denominator = total equal parts = 5.
  2. Numerator = shaded parts = 2.
  3. Unshaded: 5 − 2 = 3, so 3/5.
  4. Answer: 2/5 shaded, 3/5 not shaded

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Counts unequal parts as fractions.

    Correction: Parts must be the same size.

  • Swaps numerator and denominator.

    Correction: The denominator is down — it is the total number of parts.

Teacher tips

  • · Fold paper strips into equal parts and label them.

Parent tips

  • · Ask what fraction of the family is wearing blue.

Real-life applications

  • · Sharing food fairly, telling the time (quarter past).

Assessment objectives

How mastery is evidenced, and which standards it maps to.

COLLEGE-BOARD COL-203.1 — Mapped statement covering Working with Fractions in Real Life.AQA AQA-530.2 — Mapped statement covering Working with Fractions in Real Life.

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Frequently asked

Is this Grade 3 Working with Fractions in Real Life quiz really free?
Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Introducing Fractions in Real Life, Fraction Word Problems. Each one has its own free lesson, worksheet and quiz.
How is the quiz sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Working with Fractions in Real Life?
Move on to Fractions in Real Life in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.

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